1.

Tan 12 b O=a, the value of asino - bcos 0 a sino + b b1 cos 0​

Answer»

Answer:

m

2

+n

2

GIVEN : acosθ+bsinθ=m ---( 1 )

asinθ−bcosθ=n ---( 2 )

Squaring (1) and (2), we get

a

2

cos

2

θ+b

2

sin

2

θ+2absinθcosθ=m

2

---(3)

and

a

2

sin

2

θ+b

2

cos

2

θ−2absinθcosθ=n

2

---(4)

ADDING (3) and (4)

a

2

(sin

2

θ+cos

2

θ)+b

2

(sin

2

θ+cos

2

θ)=m

2

+n

2

or

a

2

+b

2

=m

2

+n

2


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